Name ________________________________________ Date __________________
Class _________________
Unit 3: Linear and Exponential Functions
EOCT Practice Items
1) Which equation corresponds to the graph shown?
A. y = x + 1
B. y = 2x + 1
C. y = x – 2
D. y = 3x – 1
2) Which equation corresponds to the points in the coordinate plane?
A. y = 2x – 1
B. y = x – 3
C. y = x + 1
D. y = x – 1
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
3) Based on the tables, what common point do the equations y = –x + 5 and
y = 2x – 1 share?
A. (1, 1)
B. (3, 5)
C. (2, 3)
D. (3, 2)
4) The first term in this sequence is −1.
Which function represents the sequence?
A. n + 1
B. n + 2
C. 2n – 1
D. 2n – 3
5) Which function is modeled in this table?
A. f(x) = x + 7
B. f(x) = x + 9
C. f(x) = 2x + 5
D. f(x) = 3x + 5
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
6) Which explicit formula describes the pattern in this table?
A. d = 3.14 × C
B. 3.14 × C = d
C. 31.4 × 10 = C
D. C = 3.14 × d
7) If f(12) = 4(12) – 20, which function gives f(x)?
A. f(x) = 4x
B. f(x) = 12x
C. f(x) = 4x – 20
D. f(x) = 12x – 20
8) A farmer owns a horse that can continuously run an average of 8 miles an hour for up to 6
hours. Let y be the distance the horse can travel for a given x amount of time in hours. The
horse’s progress can be modeled by a function.
Which of the following describes the domain of the function?
A. 0 ≤ x ≤ 6
B. 0 ≤ y ≤ 6
C. 0 ≤ x ≤ 48
D. 0 ≤ y ≤ 48
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
9) A population of squirrels doubles every year. Initially there were 5 squirrels. A biologist
studying the squirrels created a function to model their population growth, P(t) = 5(2t) where t
is time. The graph of the function is shown. What is the range of the function?
A. any real number
B. any whole number greater than 0
C. any whole number greater than 5
D. any whole number greater than or equal to 5
10) The function graphed on this coordinate grid shows y, the height of a dropped ball in feet
after its xth bounce.
On which bounce was the height of the ball 10 feet?
A. bounce 1
B. bounce 2
C. bounce 3
D. bounce 4
11) To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe.
Which graph models the cost of renting a canoe?
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
12) Juan and Patti decided to see who could read the most books in a month. They began to
keep track after Patti had already read 5 books that month. This graph shows the number of
books Patti read for the next 10 days.
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
If Juan has read no books before the fourth day of the month and he reads at the same rate as
Patti, how many books will he have read by day 12?
A. 5
B. 10
C. 15
D. 20
13) Which function represents this sequence?
A. f(n) = 3n – 1
B. f(n) = 6n – 1
C. f(n) = 3(6n – 1)
D. f(n) = 6(3n – 1)
14) The first term in this sequence is 3.
Which function represents the sequence?
A. f(n) = n + 3
B. f(n) = 7n – 4
C. f(n) = 3n + 7
D. f(n) = n + 7
15) The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function. Which equation represents that function?
A. f(x) = 2x
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
B. f(x) = 3x
C. f(x) = 4x
D. f(x) = 5x
16) The graph of a function is shown on this coordinate plane.
Which statement best describes the behavior of the function within the interval
x =−3 to x = 0?
A. From left to right, the function rises only.
B. From left to right, the function falls and then rises.
C. From left to right, the function rises and then falls.
D. From left to right, the function falls, rises, and then falls.
17) A function g is an odd function. If g(–3) = 4, which of the points lie on the graph of g?
A. (3, –4)
B. (–3, –4)
C. (4, –3)
D. (–4, 3)
18) Which statement is true about the function f (x)=7?
A. The function is odd because –f(x) = –f(x).
B. The function is even because –f(x) = f(–x).
C. The function is odd because f(x) = f(–x).
D. The function is even because f(x) = f(–x).
19) Which scatter plot represents a model of linear growth?
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
20) Which scatter plot best represents a model of exponential growth?
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
21) Which table represents a function with a variable growth rate?
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
22) If the parent function is f(x) = mx + b, what is the value of the parameter m for the curve
passing through the points (–2, 7) and (4, 3)?
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
Answer Key
1) C
2) A
3) C
4) D
5) D
6) D
7)C
8) A
9)D
10) A
11) C
12) B
13) D
14) B
15)D
16) C
17) A
18) D
19) B
20) A
21) D
22) D
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
CONSTRUCTED RESPONSE:
Mary and Larry are in a competition to see who can save more money before the winter
break arrives. Mary starts out with $45 in savings and saves $10 per week. Larry starts out
with $135 and saves $5 per week.
a) Write a function for each person. Clearly identify your variables. Write the function in
the space provided.
Mary:__________________________________
Larry:______________________________
b) After how many weeks will Mary have more money in savings than Larry? Apply the information above and create and find the point graphically and algebraically.
Algebraically:
Time
0
(minutes)
Feet
0
1
2
3
4
5
6
7
8
10
20
30
40
50
60
70
80
14.
Is this a constant or changing speed?
15. What is the average rate of change between these time intervals?
a. 1 min to 4 min
b. 6 min to 8 min
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
Compare and explain the Domain, Range and end behavior for the following two graphs:
________________________________________________________________________________________
________________________________________________________________________________________
________________________________________________________________________________________
________________________________________________________________________________________
_________________________________________________________________________
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
ANSWER KEY
Mary and Larry are in a competition to see who can save more money before the winter
break arrives. Mary starts out with $45 in savings and saves $10 per week. Larry starts out
with $135 and saves $5 per week.
a) Write a function for each person. Clearly identify your variables. Write the function in
the space provided.
Mary:__M= 10x+45______________
Larry:______L= 5x+135_____________
b) After how many weeks will Mary have more money in savings than Larry? Apply the information above and justify your answer.
10x+45=5x+135
x= 18
Week 18 they are equal.
Week 19 Mary will have more money in her savings
Acount.
Time
0
1
2
3
4
5
(minutes)
Feet
0
10
20
30
40
50
a constant or changing speed? Constant speed;
6
7
8
60
70
80
14.
Is
this
15. What is the average rate of change between these time intervals?
a. 1 min to 4 min
40-10 = 10
b. 6 min to 8 min
10
4-1
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name ________________________________________ Date __________________
Class _________________
Compare and explain the Domain, Range and end behavior for the following two graphs:
The domain for both graphs is all real numbers because the lines will go on continuously, so the x-values will continue to move in both directions for forever. The first graph is linear, so the range is all real numbers, for the same reason
above. The second graph is an exponential so there is an asymptote so the range is from
the asymptote to infinity so the range is (-1, 00). The end behavior for the linear graph is
x+oo, y+oo. X -oo, y -oo. For the exponential graph, the end behavior is as x+oo,
y +oo.
As x -oo, y -1.
Determine if the relation is a function and explain:
1. Yes because each input is going to only one output.
2. No because there is an input going to two different outputs.
3. Yes because it passes the vertical line test, which states that each input has
only one output.
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra